We investigate with numerical methods the scaling of the relaxation time to equipartition in the celebrated Fermi–Pasta–Ulam model. Our numerical results strongly suggest that the time increases exponentially with an inverse power of the specific energy. Such a scaling appears to remain valid in the thermodynamic limit.

Exponentially long times to equipartition in the thermodinamic limit / L. Berchialla, A. Giorgilli, S. Paleari. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 321:3(2004 Feb), pp. 167-172.

Exponentially long times to equipartition in the thermodinamic limit

A. Giorgilli
Secondo
;
S. Paleari
Ultimo
2004

Abstract

We investigate with numerical methods the scaling of the relaxation time to equipartition in the celebrated Fermi–Pasta–Ulam model. Our numerical results strongly suggest that the time increases exponentially with an inverse power of the specific energy. Such a scaling appears to remain valid in the thermodynamic limit.
FPU model; Nonlinear chain; Thermodynamic limit
Settore MAT/07 - Fisica Matematica
feb-2004
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/24358
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